We study the Noether–Lefschetz locus of a very ample line bundle L on an arbitrary smooth threefold Y. Building on results of Green, Voisin and Otwinowska, we give explicit bounds, depending only on the Castelnuovo–Mumford regularity properties of L, on the codimension of the components of the Noether–Lefschetz locus of |L|.

Lopez, A., Maclean, C. (2007). Explicit Noether-Lefschetz for arbitary threefolds. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 143, 323-342.

Explicit Noether-Lefschetz for arbitary threefolds

LOPEZ, Angelo;
2007-01-01

Abstract

We study the Noether–Lefschetz locus of a very ample line bundle L on an arbitrary smooth threefold Y. Building on results of Green, Voisin and Otwinowska, we give explicit bounds, depending only on the Castelnuovo–Mumford regularity properties of L, on the codimension of the components of the Noether–Lefschetz locus of |L|.
Lopez, A., Maclean, C. (2007). Explicit Noether-Lefschetz for arbitary threefolds. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 143, 323-342.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/149334
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